Analytic Geometry II (MATH122) Course Detail

Course Name Course Code Season Lecture Hours Application Hours Lab Hours Credit ECTS
Analytic Geometry II MATH122 3 0 0 2 6
Pre-requisite Course(s)
Course Language English
Course Type N/A
Course Level Bachelor’s Degree (First Cycle)
Mode of Delivery Face To Face
Learning and Teaching Strategies Lecture, Question and Answer, Team/Group.
Course Coordinator
Course Lecturer(s)
Course Assistants
Course Objectives The course is designed as a continuation of MATH121 Analytic Geometry I and aims to recover rotation and translations in plane, to have some basic ideas about vectors in 3-space with some of their applications, lines and planes in 3-space and surfaces in 3-space together with their graphs.
Course Learning Outcomes The students who succeeded in this course;
  • understand and use the rotation and translation in plane
  • understand Cartesian coordinates in 3-space, lines and planes in 3-space
  • understand vectors in 3-space
  • learn basic surfaces in 3-space like cylinders and surfaces of revolutions and be able to sketch the graph of quadric surfaces and quadratic equations
Course Content Cartesian coordinates in 3-space, vectors, lines and planes, basic surfaces, cylinders, surface of revolutions.

Weekly Subjects and Releated Preparation Studies

Week Subjects Preparation
1 Cartesian Coordinates in 3-space, VECTORS IN THREE SPACE: Directed Segments and Vectors pp.50-53, pp.124-126
2 Algebra of Vectors in 3-Space pp.127-131
3 Scalar Product, Angle Between Two Vectors pp.132-133
4 2x2 and 3x3 Matrices and Determinants pp.166-168, pp.203-216
5 Cross Products pp.134-136
6 Lines in 3-Space pp.137-143
7 Midterm Exam
8 Planes pp.144-149
9 Distance From a Point to a Plane or to a Line pp.150-154
10 Families of Planes or Lines pp.155-157
11 Intersection of Three Planes pp.186-187
12 SURFACES: Spheres and Cylinders pp.231-233
13 Surfaces of Revolution pp.234-236
14 Canonical Equations of the Quadric Surfaces pp.237-245
15 Review
16 Final Exam


Course Book 1. Analytic Geometry, H. İ. Karakaş, M V (ODTÜ Matematik Vakfı).

Evaluation System

Requirements Number Percentage of Grade
Attendance/Participation - -
Laboratory - -
Application - -
Field Work - -
Special Course Internship - -
Quizzes/Studio Critics - -
Homework Assignments 5 10
Presentation - -
Project - -
Report - -
Seminar - -
Midterms Exams/Midterms Jury 2 50
Final Exam/Final Jury 1 40
Toplam 8 100
Percentage of Semester Work 60
Percentage of Final Work 40
Total 100

Course Category

Core Courses
Major Area Courses X
Supportive Courses
Media and Managment Skills Courses
Transferable Skill Courses

The Relation Between Course Learning Competencies and Program Qualifications

# Program Qualifications / Competencies Level of Contribution
1 2 3 4 5
1 Has the ability to apply scientific knowledge gained in the undergraduate education and to expand and extend knowledge in the same or in a different area X
2 Can apply gained knowledge and problem solving abilities in inter-disciplinary research X
3 Has the ability to work independently within research area, to state the problem, to develop solution techniques, to solve the problem, to evaluate the obtained results and to apply them when necessary X
4 Takes responsibility individually and as a team member to improve systematic approaches to produce solutions in unexpected complicated situations related to the area of study X
5 Can develop strategies, implement plans and principles on the area of study and can evaluate obtained results within the framework X
6 Can develop and extend the knowledge in the area and to use them with scientific, social and ethical responsibility X
7 Has the ability to follow recent developments within the area of research, to support research with scientific arguments and data, to communicate the information on the area of expertise in a systematically by means of written report and oral/visual presentation X
8 To have an oral and written communication ability in at least one of the common foreign languages ("European Language Portfolio Global Scale", Level B2) X
9 Has software and hardware knowledge in the area of expertise, and has proficient information and communication technology knowledge X
10 Follows scientific, cultural, and ethical criteria in collecting, interpreting and announcing data in the research area and has the ability to teach. X
11 Has professional ethical consciousness and responsibility which takes into account the universal and social dimensions in the process of data collection, interpretation, implementation and declaration of results in mathematics and its applications. X

ECTS/Workload Table

Activities Number Duration (Hours) Total Workload
Course Hours (Including Exam Week: 16 x Total Hours)
Special Course Internship
Field Work
Study Hours Out of Class 14 3 42
Presentation/Seminar Prepration
Homework Assignments 5 5 25
Quizzes/Studio Critics
Prepration of Midterm Exams/Midterm Jury
Prepration of Final Exams/Final Jury 1 15 15
Total Workload 82